2121761102000 has 80 divisors (see below), whose sum is σ = 5133020349600. Its totient is φ = 848274003200.

The previous prime is 2121761101987. The next prime is 2121761102059. The reversal of 2121761102000 is 2011671212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689966 + ... + 4226034.

It is an arithmetic number, because the mean of its divisors is an integer number (64162754370).

Almost surely, 2^{2121761102000} is an apocalyptic number.

2121761102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121761102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566510174800).

2121761102000 is an abundant number, since it is smaller than the sum of its proper divisors (3011259247600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121761102000 is a wasteful number, since it uses less digits than its factorization.

2121761102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538071 (or 538055 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 2121761102000 its reverse (2011671212), we get a palindrome (2123772773212).

The spelling of 2121761102000 in words is "two trillion, one hundred twenty-one billion, seven hundred sixty-one million, one hundred two thousand".